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Finding the Fourth Proportional to 1,744.96, 2,408.10 and 959.06

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Solution

The fourth proportional to 1,744.96, 2,408.10 and 959.06 is: 1,323.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.96 : 2,408.10 = 959.06 : x
  2. Step 2: Convert to fraction form
    1,744.96/2,408.10 = 959.06/x
  3. Step 3: Cross multiply
    1,744.96x = 2,408.10 × 959.06
  4. Step 4: Simplify right side
    1,744.96x = 2,309,512.39
  5. Step 5: Solve for x
    x = 2,309,512.39/1,744.96
  6. Step 6: Final answer
    x = 1,323.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.